报告题目: Adaptive finite element method for nonmonotone quasi-linear elliptic problems
报 告 人:毕春加
工作单位:烟台大学 永利体育官网登录
报告时间:2021-4-2 9:30-11:30
腾讯会议ID:192 282 573
报告摘要: We study the simplest and the most standard adaptive finite element method for the second-order nonmonotone quasi-linear elliptic problems with the exact solution The adaptive algorithm is based on the residual-based a posteriori error estimators and Dorfler's marking strategy. We prove the convergence and quasi-optimality of the adaptive finite element method when the initial mesh is sufficiently fine. Numerical experiments are provided to illustrate our findings.
报告人简介:毕春加,烟台大学永利体育官网登录教授。2001年复旦大学计算数学博士毕业。主要从事二阶非线性问题有限元方法、有限体积元方法和间断有限元方法的研究,以第一或通讯作者在Numer. Math.、IMA J Numer. Anal.、J. Sci. Comput.、Comput. Meth. Appl. Mech. Engrg.等学术期刊上发表论文30余篇。主持多项国家和省自然科学基金项目。获得山东省高等学校科学技术奖一等奖两项。